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Finding the Fourth Proportional to 99,706.56, 149,559.90 and 29,585.25

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Solution

The fourth proportional to 99,706.56, 149,559.90 and 29,585.25 is: 44,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706.56 : 149,559.90 = 29,585.25 : x
  2. Step 2: Convert to fraction form
    99,706.56/149,559.90 = 29,585.25/x
  3. Step 3: Cross multiply
    99,706.56x = 149,559.90 × 29,585.25
  4. Step 4: Simplify right side
    99,706.56x = 4,424,767,031.48
  5. Step 5: Solve for x
    x = 4,424,767,031.48/99,706.56
  6. Step 6: Final answer
    x = 44,377.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.